Operads and Universal Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Operads and Universal Algebra write by Chengming Bai. This book was released on 2012. Operads and Universal Algebra available in PDF, EPUB and Kindle. The book aims to exemplify the recent developments in operad theory, in universal algebra and related topics in algebraic topology and theoretical physics. The conference has established a better connection between mathematicians working on operads (mainly the French team) and mathematicians working in universal algebra (primarily the Chinese team), and to exchange problems, methods and techniques from these two subject areas.
Algebraic Operads
Algebraic Operads - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Operads write by Murray R. Bremner. This book was released on 2016-04-06. Algebraic Operads available in PDF, EPUB and Kindle. This book presents a systematic treatment of Grobner bases in several contexts. The book builds up to the theory of Grobner bases for operads due to the second author and Khoroshkin as well as various applications of the corresponding diamond lemmas in algebra. Throughout the book, both the mathematical theory and computational methods are emphasized and numerous algorithms, examples, and exercises are provided to clarify and illustrate the concrete meaning of abstract theory.
Homotopy of Operads and Grothendieck-Teichmuller Groups
Homotopy of Operads and Grothendieck-Teichmuller Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Homotopy of Operads and Grothendieck-Teichmuller Groups write by Benoit Fresse. This book was released on 2017-04-21. Homotopy of Operads and Grothendieck-Teichmuller Groups available in PDF, EPUB and Kindle. The Grothendieck–Teichmüller group was defined by Drinfeld in quantum group theory with insights coming from the Grothendieck program in Galois theory. The ultimate goal of this book is to explain that this group has a topological interpretation as a group of homotopy automorphisms associated to the operad of little 2-discs, which is an object used to model commutative homotopy structures in topology. This volume gives a comprehensive survey on the algebraic aspects of this subject. The book explains the definition of an operad in a general context, reviews the definition of the little discs operads, and explains the definition of the Grothendieck–Teichmüller group from the viewpoint of the theory of operads. In the course of this study, the relationship between the little discs operads and the definition of universal operations associated to braided monoidal category structures is explained. Also provided is a comprehensive and self-contained survey of the applications of Hopf algebras to the definition of a rationalization process, the Malcev completion, for groups and groupoids. Most definitions are carefully reviewed in the book; it requires minimal prerequisites to be accessible to a broad readership of graduate students and researchers interested in the applications of operads.
Finite Semigroups And Universal Algebra
Finite Semigroups And Universal Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Finite Semigroups And Universal Algebra write by Jorge Almeida. This book was released on 1995-01-27. Finite Semigroups And Universal Algebra available in PDF, EPUB and Kindle. Motivated by applications in theoretical computer science, the theory of finite semigroups has emerged in recent years as an autonomous area of mathematics. It fruitfully combines methods, ideas and constructions from algebra, combinatorics, logic and topology. In simple terms, the theory aims at a classification of finite semigroups in certain classes called “pseudovarieties”. The classifying characteristics have both structural and syntactical aspects, the general connection between them being part of universal algebra. Besides providing a foundational study of the theory in the setting of arbitrary abstract finite algebras, this book stresses the syntactical approach to finite semigroups. This involves studying (relatively) free and profinite free semigroups and their presentations. The techniques used are illustrated in a systematic study of various operators on pseudovarieties of semigroups.
Higher Operads, Higher Categories
Higher Operads, Higher Categories - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Higher Operads, Higher Categories write by Tom Leinster. This book was released on 2004-07-22. Higher Operads, Higher Categories available in PDF, EPUB and Kindle. Foundations of higher dimensional category theory for graduate students and researchers in mathematics and mathematical physics.
